Question: The probability that a randomly selected box of a certain type of cereal has a particular prize is0.2. Suppose you purchase box after box until

The probability that a randomly selected box of a certain type of cereal has a particular prize is0.2. Suppose you purchase box after box until you have obtainedthreeof these prizes.

(a) What is the probability that you purchasefiveboxes? (Round your answer to four decimal places.)

(b) What is the probability that you purchase at mostfiveboxes? (Round your answer to four decimal places.)

(c) How many boxes without the desired prize do you expect to purchase?

(d) How many boxes do you expect to purchase?

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